To create the unstructured mesh, in the Simulation Tree right click on Mesh and select Create
Mesh from the pop-up menu. In the Mesh Parameters window select Standard Mesh and set the
Global size to 0.05 m. Verify that the Tolerance is now set to 0.0025 m and then click the green
check mark. In the Simulation Tree right click on Mesh and select Details from the pop-up menu.
Verify that the fairy regular planar 2D mesh has 800 triangular elements and 1,681 nodes.
Solution
To solve the problem, in the Simulation Tree right click on Steady 2D and select Run from the
pop-up menu. A Solution window will pop-up to indicate your progress. When it is finished
solving the system of equations, a contour plot of temperature will appear in drawing window.
Save your results to your file.
Post-Processing
To calculate heat transfer rates, in the Simulation Tree right click on the Results folder and select
List Heat Power from the pop-up menu. In the Selection window for the units select Watt from
the pull-down menu and for Faces, Edges, or Vertices select the four bounding edges for the
brick in the drawing window and click Update. Note that for the bottom edge at y = 0, the heat
transfer rate can be calculated from the analytical solution from Lab 1 to be
(8)
where L
z
is the length in the z-direction that was set to 0.1 m above as part of the 2D
simplification process. For the parameters for this problem this corresponds to 2.206 W. Verify
that the calculated power out of the bottom surface is 2.22 W corresponding to an error of
approximately 0.6%. (Note that because of the top two corner singularities, the analytical
solution for the heat transfer rate is +∞ on the top is and -∞ for the left and right sides). Also,
check in the Summary window that the Net power for the Entire Model is relatively small
indicting global energy conservation. Click the green check mark to close the window.
To change the settings for the temperature contour plot, in the Simulation Tree right click on
Thermal1 in the Results folder and select Chart Options from the pop-up menu. In the Display
Options window select Defined for the scale and set the minimum to 0 ˚C and the maximum to
100 ˚C. In the Position/Format window select floating from the pull-down menu and set the
number of decimal places to 0. In the Color Options window set the number of chart colors to
10. Finally, click the green check mark to close the windows.
To create a heat flux contour plot, in the Simulation Tree right click on the Results folder and
select Define Thermal Plot from the pop-up menu. In the Display window select HFLUXN:
Resultant Heat Flux from the pull-down menu and for the Units select W/m
2
from the pull-down
menu. Under the Chart Options tab, in the Display Options window select Defined for the scale
and set the minimum to 0 W/m
2
and the maximum to 1000 W/m
2
. In the Position/Format
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